you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

6 0

2 years ago

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One number is six more than a second number. four times the first is 10 less than 6 times the second. Find the numbers.

zavuch27 [327]

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

One number is six more than a second number.
four times the first is 10 less than 6 times the second.⠀⠀⠀⠀

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

Find the two numbers.⠀

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

In questions given,One number is six more than a second number.

if second number is a

first number is a+6.

and,

four times the first is 10 less than 6 times the second.

So,

4×(a+6)=6a-10

we have to solve this.

$\bold{4\times (a+6)=6a-10 }$

$\bold{4a+24=6a-10 }$

$\bold{6a-4a=24+10 }$

$\bold{2a=34 }$

$\bold{ a=\dfrac{34}{2} }$

$\bold{ a=17 }$

we,get our second number =a=17.

So,

first number =a+6=17+6=23

5 0

2 years ago

Please help i will give crowns

-Dominant- [34]

Answer: 20

Step-by-step explanation: see screenshot

7 0

2 years ago